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   on skew power series-wise mccoy rings  
   
نویسنده zahiri masoome ,zahiri saeide
منبع journal of mahani mathematical research - 2023 - دوره : 12 - شماره : 2 - صفحه:19 -27
چکیده    Let $r$ be a ring with an endomorphism $alpha$‎. ‎a ring $r$ is a skew power series mccoy ring if whenever any non-zero power series $f(x)=sum_{i=0}^{infty}a_ix^i,g(x)=sum_{j=0}^{infty}b_jx^jin r[[x;alpha]]$ satisfy $f(x)g(x)=0$‎, ‎then there exists a non-zero element $cin r$ such that $a_ic=0$‎, ‎for all $i=0,1,ldots$‎. ‎we investigate relations between the skew power series ring and the standard ring-theoretic properties‎. ‎moreover‎, ‎we obtain some characterizations for skew power series ring $r[[x;alpha]]$‎, ‎to be mccoy‎, ‎zip‎, ‎strongly textit{ab} and has property (a)‎.
کلیدواژه noetherian ring ,α-compatible ring ,skew power series mccoy ring ,zip ring ,reversible rin
آدرس higher education center of eghlid, department of mathematics, iran, higher education center of eghlid, department of mathematics, iran
پست الکترونیکی s.zahiri@eghlid.ac.ir؛ saeede.zahiri@yahoo.com
 
     
   
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